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Finding the Fourth Proportional to 785.08, 1,177.86 and 400

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Solution

The fourth proportional to 785.08, 1,177.86 and 400 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.08 : 1,177.86 = 400 : x
  2. Step 2: Convert to fraction form
    785.08/1,177.86 = 400/x
  3. Step 3: Cross multiply
    785.08x = 1,177.86 × 400
  4. Step 4: Simplify right side
    785.08x = 471,144.00
  5. Step 5: Solve for x
    x = 471,144.00/785.08
  6. Step 6: Final answer
    x = 600.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.